Question

for each of the following number find the smallest whole number by which it should be multiplied so as to get a perfect square number also find the square root of the square number so obtained 252

Answer 1

hi

aim : to multiply 252 to make it a perfect sqaure

first , let us find the prime factorisation of 252

=>it is in the photo given below

=> 252 = 2*2*3*3*7

=>252 = 2² x 3² x 7

=>we see that 7 is not in pair

∴7 is the  smallest whole number by which 252 should be multiplied so as to get a perfect square number 

=>252 *7=1764

=>√1764 = 42

hope it helps u

:)